Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sibirskii Matematicheskii Zhurnal, 2016, Volume 57, Number 5, Pages 1114–1126
DOI: https://doi.org/10.17377/smzh.2016.57.517 (Mi smj2812) 		 
This article is cited in 7 scientific papers (total in 7 papers)

On some classes of inverse problems with overdetermination data on spatial manifolds

S. G. Pyatkovab

a Yugra State University, Khanty-Mansiisk, Russia
b Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (318 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.17377/smzh.2016.57.517
Abstract: We consider the question of well-posedness of the inverse problems of determining the righthand side (a source function) of a special form of a parabolic system of equations. The overdetermination data are the values of a solution and its normal derivatives on a system of surfaces in a spatial domain. In particular, the cross-sections of the domain can be used as these surfaces. Sharp conditions are presented for the data of the problem to ensure well-posedness.
Keywords: parabolic system, inverse problem, initial-boundary value problem, well-posedness, unconditional solvability.
Funding agency Grant number
Russian Foundation for Basic Research 15-41-00063
The author was supported by the Russian Foundation for Basic Research (Grant 15-41-00063).
Received: 02.10.2015
English version:
Siberian Mathematical Journal, 2016, Volume 57, Issue 5, Pages 870–880
DOI: https://doi.org/10.1134/S0037446616050177
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: S. G. Pyatkov, “On some classes of inverse problems with overdetermination data on spatial manifolds”, Sibirsk. Mat. Zh., 57:5 (2016), 1114–1126; Siberian Math. J., 57:5 (2016), 870–880
Citation in format AMSBIB
\Bibitem{Pya16}
\by S.~G.~Pyatkov
\paper On some classes of inverse problems with overdetermination data on spatial manifolds
\jour Sibirsk. Mat. Zh.
\yr 2016
\vol 57
\issue 5
\pages 1114--1126
\mathnet{http://mi.mathnet.ru/smj2812}
\crossref{https://doi.org/10.17377/smzh.2016.57.517}
\elib{https://elibrary.ru/item.asp?id=27380105}
\transl
\jour Siberian Math. J.
\yr 2016
\vol 57
\issue 5
\pages 870--880
\crossref{https://doi.org/10.1134/S0037446616050177}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000386780100017}
\elib{https://elibrary.ru/item.asp?id=27581633}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84992409532}
Linking options:
  • https://www.mathnet.ru/eng/smj2812
  • https://www.mathnet.ru/eng/smj/v57/i5/p1114
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:262
    Full-text PDF :71
    References:59
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024